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Lyapunov Equation: Its Numerical Treatment and Application in Linear Control

Illipse, Ines LU (2017) In Bachelor's Theses in Mathematical Sciences NUMK01 20171
Mathematics (Faculty of Engineering)
Abstract
The focus of this thesis is the treatment and application of the continuous time Lyapunov matrix equation. We discuss and compare the Naive, Bartels Stewart and Galerkin methods with each other and also with the function lyap in Matlab. We also explore the relationship between the Lyapunov equation as well as the Lyapunov function with stability and linear control. Finally, we give an application of the equation in linear control.
Please use this url to cite or link to this publication:
author
Illipse, Ines LU
supervisor
organization
course
NUMK01 20171
year
type
M2 - Bachelor Degree
subject
keywords
Lyapunov Function, Lyapunov Equation, Bartels-Stewart, Galerkin, Control theory, Stability, Linear Feedback
publication/series
Bachelor's Theses in Mathematical Sciences
report number
LUNFNA-4014-2017
ISSN
1654-6229
other publication id
2017:K11
language
English
id
8917207
date added to LUP
2018-06-07 17:49:11
date last changed
2018-06-07 17:49:11
@misc{8917207,
  abstract     = {The focus of this thesis is the treatment and application of the continuous time Lyapunov matrix equation. We discuss and compare the Naive, Bartels Stewart and Galerkin methods with each other and also with the function lyap in Matlab. We also explore the relationship between the Lyapunov equation as well as the Lyapunov function with stability and linear control. Finally, we give an application of the equation in linear control.},
  author       = {Illipse, Ines},
  issn         = {1654-6229},
  keyword      = {Lyapunov Function,Lyapunov Equation,Bartels-Stewart,Galerkin,Control theory,Stability,Linear Feedback},
  language     = {eng},
  note         = {Student Paper},
  series       = {Bachelor's Theses in Mathematical Sciences},
  title        = {Lyapunov Equation: Its Numerical Treatment and Application in Linear Control},
  year         = {2017},
}